Well if you want to learn to code then joining the apple developers program is the first step.
If you don't want to go down that path then I'd suggest something like
Command Fusion - check out there web page to get an idea.
I develop for iPhone and Command Fusion so I'm happy to help - would prefer to use CF for this though, quicker. Alternatively you could throw it into a web server and view that on anything - not much of a web coder though.
I'm not terribly familiar with the working of MAME (yet) so not 100% sure of how to get the data to the app to display but its running on a PC so how hard could that be? I live in Linux and Mac land for the most part, no real experience coding for Windows other than at the command line. I'm thinking a little python script that could read the hi scores and make them available as a JSON feed (or HTML). The App would read the values in and keep then until it could refresh so it would work on or offline.
I'll have a look at the diff you mentioned and the format of the hi scores so I can get a better idea of whats needed.
rich